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Finding the Third Proportional to 272,994,568,764 and 593,505,301,398

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Solution

The third proportional to 272,994,568,764 and 593,505,301,398 is: 1,290,313,372,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,994,568,764 : 593,505,301,398 = 593,505,301,398 : x
  2. Step 2: Convert to fraction form
    272,994,568,764/593,505,301,398 = 593,505,301,398/x
  3. Step 3: Cross multiply
    272,994,568,764x = 593,505,301,398 × 593,505,301,398
  4. Step 4: Simplify right side
    272,994,568,764x = 352,248,542,787,530,821,468,160
  5. Step 5: Solve for x
    x = 352,248,542,787,530,821,468,160/272,994,568,764
  6. Step 6: Final answer
    x = 1,290,313,372,835.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.